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Finding the Fourth Proportional to 217,138.38, 299,649.96 and 121,645.86

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Solution

The fourth proportional to 217,138.38, 299,649.96 and 121,645.86 is: 167,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,138.38 : 299,649.96 = 121,645.86 : x
  2. Step 2: Convert to fraction form
    217,138.38/299,649.96 = 121,645.86/x
  3. Step 3: Cross multiply
    217,138.38x = 299,649.96 × 121,645.86
  4. Step 4: Simplify right side
    217,138.38x = 36,451,177,083.17
  5. Step 5: Solve for x
    x = 36,451,177,083.17/217,138.38
  6. Step 6: Final answer
    x = 167,870.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.